62 citations · 261 across the 45 of their papers we have counts for
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math.AP2011★ 7 cited
Construction of a multi-soliton blow-up solution to the semilinear wave equation in one space dimension
Raphaël Côte, Hatem Zaag
We consider the semilinear wave equation with power nonlinearity in one space dimension. Given a blow-up solution with a characteristic point, we refine the blow-up behavior first…
math.AP2011
Construction and stability of a blow up solution for a nonlinear heat equation with a gradient term
Mohammed Abderrahman Ebde, Hatem Zaag
We consider a nonlinear heat equation with a gradient term. We construct a blow-up solution for this equation with a prescribed blow-up profile. For that, we translate the question…
math.AP2011
Blow-up behavior outside the origin for a semilinear wave equation in the radial case
F. Merle, H. Zaag
We consider the semilinear wave equation in the radial case with conformal subcritical power nonlinearity. If we consider a blow-up point different from the origin, then we exhibit…